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LA business leader says crime, wildfire fallout fueling Pratt surge as voters seek change: 'People are angry'
SANTA MONICA, CA — A business leader and former city council candidate is reacting to Spencer Pratt’s surge in the Los Angeles mayoral race by pointing to crime, the recent wildfires, and the inhospitable business climate as the reason why voters are discontent with the status quo. "I think a lot of people are concerned about what's happening, they really don't know how to fix this, and I think the crime, the homelessness, the addiction, all the above behaviors of what's happened in our city...
LA business leader says crime, wildfire fallout fueling Pratt surge as voters seek change: 'People are angry'
SANTA MONICA, CA — A business leader and former city council candidate is reacting to Spencer Pratt’s surge in the Los Angeles mayoral race by pointing to crime, the recent wildfires, and the inhospitable business climate as the reason why voters are discontent with the status quo. "I think a lot of people are concerned about what's happening, they really don't know how to fix this, and I think the crime, the homelessness, the addiction, all the above behaviors of what's happened in our city...
Goedel-Architect: Streamlining Formal Theorem Proving with Blueprint Generation and Refinement
Announce Type: new Abstract: We introduce Goedel-Architect, an agentic framework for formal theorem proving in Lean 4 centered on blueprint generation and refinement. A blueprint is a dependency graph of definitions and lemmas that builds up to the main theorem. First, Goedel-Architect generates a blueprint of formally stated definitions and lemmas, along with declared dependencies.
A Computational Toolkit for Engagement and Scalable Assessment in a Large Logic Course
Announce Type: new Abstract: Large required courses in theoretical computer science face two related challenges: helping students engage with abstract material and supporting reliable student assessment at scale. This paper describes LogicLab, a lightweight computational toolkit developed for CS 245, Logic and Computation, at the University of Waterloo.
Don't miss the moon and Saturn put on a spectacular show before sunrise June 10
Don't miss the moon and Saturn put on a spectacular show before sunrise June 10 Early risers on Wednesday morning (June 10) will be able to partake in an interesting rendezvous between the moon and a bright planet. Set your alarm for 3 a.m. and upon heading outside, look due east. Make sure you don't have any tall obstructions, such as trees or buildings, in your way.
3 bright planets light up June's night sky — Here's where and when to look
3 bright planets light up June's night sky — Here's where and when to look This is the month of the "Great Celestial Summit Meeting" between a crescent moon, three bright planets and two bright stars. The stars (Pollux and Castor) and planets (Venus, Jupiter and Mercury) will be arrayed across the west-northwest sky during the first half of the month, with the moon moving in to join them during the evenings of June 16 and June 17. The most amazing sight will be provided by Venus and Jupiter...
Whole-genome duplication shaped cell-type evolution in the vertebrate brain
Abstract The complex brains of vertebrates have more cell types than those of their closest relatives. Whole-genome duplications (WGDs) occurred during early vertebrate evolution1, but it is unclear whether the duplicated genes (ohnologues) facilitated cell-type evolution. Here using brain single-cell transcriptomes from five chordates—human2, mouse3, lizard4, lamprey5 and amphioxus—we report that many cell-type families with conserved core transcription factors in vertebrates do not show...
LEAP: Supercharging LLMs for Formal Mathematics with Agentic Frameworks
arXiv:2606.03303v1 Announce Type: new Abstract: Large Language Models (LLMs) exhibit strong informal mathematical reasoning but struggle to generate mechanically verifiable proofs in formal languages like Lean. We present LEAP, an agentic framework that enables general-purpose foundation models to achieve state-of-the-art performance on automated formal theorem proving. LEAP leverages foundation model capabilities, such as informal reasoning, instruction following, and iterative self-refinement.
Venus, Jupiter and Mercury headline a stunning planet parade through June. Here's when to see it
Venus, Jupiter and Mercury headline a stunning planet parade through June. Here's when to see it The June evening sky this year is exceptionally interesting. A spectacular gathering of three planets, two bright stars, plus, later this month, a slender crescent moon, will be the chief celestial attraction in the evening sky during the next few weeks.
LEAP: Supercharging LLMs for Formal Mathematics with Agentic Frameworks
Announce Type: replace Abstract: Large Language Models (LLMs) exhibit strong informal mathematical reasoning but struggle to generate mechanically verifiable proofs in formal languages like Lean. We present LEAP, an agentic framework that enables general-purpose foundation models to achieve state-of-the-art performance on automated formal theorem proving. LEAP leverages foundation model capabilities, such as informal reasoning, instruction following, and iterative self-refinement.